Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form

Autor: Ayşegül Akyüz-Daşcıoğlu, Neşe İşler Acar, Coşkun Güler
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2014/134272
Popis: A collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearization technique. Some numerical examples are also given to demonstrate the applicability, accuracy, and efficiency of the proposed method.
Databáze: Directory of Open Access Journals